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-BARSIC- [3]
3 years ago
9

A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the e

xperiment, There are 50 mold cells. Each time a periodic observation is made, the number of mold cells triples. For example, observation #1, there are 150 mold cells.​

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

  • y = 50·3^x
  • (2, 450), (3, 1350), (4, 4050), (5, 12150)

Step-by-step explanation:

The problem statement tells you each observed count is 3 times the last one.

__

Expressed as an exponential function with an initial value of 50 and a growth factor of 3, the formula is ...

  y = (initial value)×(growth factor)^x

  y = 50·3^x

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How to break down 4/5 + 13/15 = 1 2/3
nalin [4]

Answer:

Step-by-step explanation:

The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3

To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15

Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes

12/15

Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes

13/15

The equation becomes

(12 + 13)/15 = 5/3

25/15 = 5/3

Simplifying 25/15 to its lowest terms, it becomes 5/3 so

5/3 = 5/3

6 0
3 years ago
Read 2 more answers
Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

x=4y

Replacing this value into the first equation, we have

4y=180-2y\\\\
6y=180\\\\
y=30

Therefore,

x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


4 0
3 years ago
An open box is formed from a rectangular piece of cardboard, whose length is 3 inches more than it's width, by cutting 3 inch sq
Feliz [49]
3+264-2=265 inches

Hope this helps!!!!

:) :) :)
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TiliK225 [7]

Answer:

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3.14=

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2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

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